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Finding the Fourth Proportional to 8,640.24, 11,923.80 and 4,914.48

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Solution

The fourth proportional to 8,640.24, 11,923.80 and 4,914.48 is: 6,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.24 : 11,923.80 = 4,914.48 : x
  2. Step 2: Convert to fraction form
    8,640.24/11,923.80 = 4,914.48/x
  3. Step 3: Cross multiply
    8,640.24x = 11,923.80 × 4,914.48
  4. Step 4: Simplify right side
    8,640.24x = 58,599,276.62
  5. Step 5: Solve for x
    x = 58,599,276.62/8,640.24
  6. Step 6: Final answer
    x = 6,782.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.